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331220040 = 233519714011
BaseRepresentation
bin10011101111100…
…000010001001000
3212002020201110220
4103233200101020
51134243020130
652511110040
711131216044
oct2357402110
9762221426
10331220040
1115aa68578
1292b12320
135380c1b8
1431dbd024
151e129410
hex13be0448

331220040 has 64 divisors (see below), whose sum is σ = 998775360. Its totient is φ = 87870720.

The previous prime is 331220023. The next prime is 331220059. The reversal of 331220040 is 40022133.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16635 + ... + 30645.

It is an arithmetic number, because the mean of its divisors is an integer number (15605865).

Almost surely, 2331220040 is an apocalyptic number.

331220040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499387680).

331220040 is an abundant number, since it is smaller than the sum of its proper divisors (667555320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331220040 is a wasteful number, since it uses less digits than its factorization.

331220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14222 (or 14218 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 331220040 is about 18199.4516400907. The cubic root of 331220040 is about 691.8928910816.

Adding to 331220040 its reverse (40022133), we get a palindrome (371242173).

The spelling of 331220040 in words is "three hundred thirty-one million, two hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 197 394 591 788 985 1182 1576 1970 2364 2955 3940 4728 5910 7880 11820 14011 23640 28022 42033 56044 70055 84066 112088 140110 168132 210165 280220 336264 420330 560440 840660 1681320 2760167 5520334 8280501 11040668 13800835 16561002 22081336 27601670 33122004 41402505 55203340 66244008 82805010 110406680 165610020 331220040